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On Invariant Line Fields

Bulletin of the London Mathematical Society, 2000
A famous open problem in the dynamics of rational functions \(f\), the dense hyperbolicity conjecture, concerns invariant line fields, which are defined a.e.\ on a Julia set of positive Lebesgue measure. In the paper under review, this notion is used in the sense that the \(f\)-invariant line field is defined a.e.\ with respect to an \(f\)-invariant ...
Fisher, Albert M., Urbański, Mariusz
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Topological invariants for lines

IEEE Transactions on Knowledge and Data Engineering, 1998
A set of topological invariants for relations between lines embedded in the 2-dimensional Euclidean space is given. The set of invariants is proven to be necessary and sufficient to characterize topological equivalence classes of binary relations between simple lines. The topology of arbitrarily complex geometric scenes is described with a variation of
CLEMENTINI, ELISEO, P. DI FELICE
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Robust line matching through line–point invariants

Pattern Recognition, 2012
This paper is about line matching by line-point invariants which encode local geometric information between a line and its neighboring points. Specifically, two kinds of line-point invariants are introduced in this paper, one is an affine invariant constructed from one line and two points while the other is a projective invariant constructed from one ...
Bin Fan, Fuchao Wu, Zhanyi Hu
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SILT: Scale-invariant line transform

2009 IEEE International Symposium on Computational Intelligence in Robotics and Automation - (CIRA), 2009
Line matching is useful in many computer vision tasks such as object recognition, image registration, and 3D reconstruction. The literature on line matching has advanced in recent years, nevertheless, compared to other features (such as point and region matching approaches) it has made little progress.
Bahador Khaleghi   +2 more
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Comparing measures and invariant line fields

Ergodic Theory and Dynamical Systems, 2002
Summary: We give elementary proofs of two rigidity results. The first one asserts that the maximal entropy measure \(\mu_f\) of a rational map \(f\) is singular with respect to any given conformal measure excepted if f is a power, Chebyshev or Lattès map. This is a variation of a result of Zdunik.
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Invariant line segmentation for object recognition

Proceedings of IECON '93 - 19th Annual Conference of IEEE Industrial Electronics, 2002
A fast method of line segmentation using the dominant point approach is described. It is based on Lowe's method. The contribution of this paper is successfully finding the way of selecting initial points for starting Lowe's algorithms. This is a crucial step for getting dominant points which are stable under variant scales and orientations.
W.C. So, C.K. Lee
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Transformation Invariant On-Line Target Recognition

IEEE Transactions on Neural Networks, 2011
Transformation invariant automatic target recognition (ATR) has been an active research area due to its widespread applications in defense, robotics, medical imaging and geographic scene analysis. The primary goal for this paper is to obtain an on-line ATR system for targets in presence of image transformations, such as rotation, translation, scale and
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Time-Invariant Characteristics of Naval Power-Line Channels

IEEE Transactions on Power Delivery, 2012
In this paper, time-invariant characteristics of power-line communications (PLC) channels in ships are evidenced. A multiport channel model derived from transmission-line theory is used to investigate the frequency response under various loading conditions.
Zheng T, RAUGI, MARCO, TUCCI, MAURO
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Critical line and dilaton in scale-invariant QED

Physical Review D, 1989
We have found a novel spontaneous-chiral-symmetry-breaking solution to the ladder Schwinger-Dyson equation for QED plus a chiral-invariant four-fermion interaction. The critical line is explicitly obtained in the plane of two coupling constants of gauge and four-fermion interactions.
, Kondo, , Mino, , Yamawaki
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